4202640 has 120 divisors (see below), whose sum is σ = 15233400. Its totient is φ = 1032192.

The previous prime is 4202633. The next prime is 4202641. The reversal of 4202640 is 462024.

4202640 is a `hidden beast` number, since 4 + 20 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 4064256 = 372^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4² + 2⁵ + 0 + 2⁹ + 6⁵ + 4¹¹ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9136 + ... + 9584.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^4202640 is an apocalyptic number.

4202640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700).

4202640 is an abundant number, since it is smaller than the sum of its proper divisors (11030760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4202640 is a wasteful number, since it uses less digits than its factorization.

4202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202640 is about 2050.0341460571. The cubic root of 4202640 is about 161.3766626936.

Adding to 4202640 its product of nonzero digits (384), we get a palindrome (4203024).

Adding to 4202640 its reverse (462024), we get a palindrome (4664664).

The spelling of 4202640 in words is "four million, two hundred two thousand, six hundred forty".